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{latex}
\begin{equation*}
\nabla \cdot (\rho \vec{v}^{\,}_r \vec{v}^{\,}_r)+\rho(2 \vec{\omega}^{\,} \times \vec{v}^{\,}_r+\vec{\omega}^{\,} \times \vec{\omega}^{\,} \times \vec{r}^{\,})=-\nabla p +\nabla \cdot \overline{\overline{\tau}}_r
\end{equation*}
{latex}
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Where
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...
{latex}$\vec{v}^{\,}_r${latex} |
...
...
the
...
relative
...
velocity
...
(the
...
velocity
...
viewed
...
from
...
the
...
moving
...
frame)
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and
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{latex}$\vec{\omega}^{\,}${latex} |
...
...
the
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angular
...
velocity.
...
...
...
Note
...
the
...
additional
...
terms
...
for
...
the
...
centripetal
...
acceleration
...
and
...
Coriolis
...
force
...
in
...
the
...
Navier-Stokes
...
equations.
...
In
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Fluent,
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we'll
...
turn
...
on
...
the
...
additional
...
terms
...
for
...
a
...
moving
...
frame
...
of
...
reference
...
and
...
input
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{latex}$\vec{\omega}^{\,}= -2.22 \mathbf{\hat{k}}${latex} |
For more information about flows in a moving frame of reference, visit ANSYS Help View > Fluent > Theory Guide > 2. Flow in a Moving Frame of Reference and ANSYS Help Viewer > Fluent > User's Guide > 9. Modeling Flows with Moving Reference Frames.
...
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{latex}
\begin{equation*}
\vec{v}^{\,}(r_1,\theta) = \vec{v}^{\,}(r_1,\theta_1 - 120n)
\end{equation*}
{latex} |
...
This
...
therefore
...
proves
...
that
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the
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velocity
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distribution
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at
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theta
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of
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0
...
and
...
120
...
degrees
...
are
...
the
...
same.
...
If
...
we
...
denote
...
theta_1
...
to
...
represent
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one
...
of
...
the
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periodic
...
boundaries
...
for
...
the
...
1/3
...
domain
...
and
...
theta_2
...
being
...
the
...
other
...
boundary,
...
then
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{latex}$\vec{v}^{\,}(r_i,\theta_1)=\vec{v}^{\,}(r_i,\theta_2)${latex} |
...
Please follow along to start this project! It is recommended to have these videos run side by side with your ANSYS project, with the video taking 1/3 of the screen space and the ANSYS window taking 2/3 of the screen space. An even better method is to use two monitors. This would allow running both the tutorial videos and ANSYS in full-screen. For example, the tutorial would be opened up on your laptop and ANSYS would be running on a lab computer. If you use the Cornell lab computers then make sure to bring some earbuds!
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{html}<iframe width="640" height="360" src="//www.youtube.com/embed/paSsU19hNy0" frameborder="0" allowfullscreen></iframe>{html} |